The height of the trapezoid is equal to the smaller base and half the larger base, the area is equal to 54 cm2 find the height.

univerkov | January 13, 2021 | education

Let the length of the height of the trapezoid be X cm, then, by condition, the smaller base is equal to BC = X cm, and the larger base is equal to AD= 2 * X cm.
Then the area of the trapezoid is equal to: Savsd = (BC + AD) * ВН / 2 = (X + 2 * X) * X / 2 = 54 cm2.
3 * X ^ 2 = 108.
X ^ 2 = 108/3 = 36.
X = BH = 6 cm.
Answer: The height of the trapezoid is 6 cm.

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